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What is the Least Common Multiple of 27074 and 27083?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 27074 and 27083 is 733245142.

LCM(27074,27083) = 733245142

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Least Common Multiple of 27074 and 27083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27074 and 27083, than apply into the LCM equation.

GCF(27074,27083) = 1
LCM(27074,27083) = ( 27074 × 27083) / 1
LCM(27074,27083) = 733245142 / 1
LCM(27074,27083) = 733245142

Least Common Multiple (LCM) of 27074 and 27083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27074 and 27083. First we will calculate the prime factors of 27074 and 27083.

Prime Factorization of 27074

Prime factors of 27074 are 2, 13537. Prime factorization of 27074 in exponential form is:

27074 = 21 × 135371

Prime Factorization of 27083

Prime factors of 27083 are 7, 53, 73. Prime factorization of 27083 in exponential form is:

27083 = 71 × 531 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 27074 and 27083.

LCM(27074,27083) = 21 × 135371 × 71 × 531 × 731
LCM(27074,27083) = 733245142